tag:blogger.com,1999:blog-43906670574954315992024-02-20T02:06:09.856+09:00MATERI MATEMATIKA WAJIB UNTUK KELAS X IPA SMAKarya Tulis Ilmiah (Penelitian Tindakan Kelas (PTK), Penelitian Evaluasi, Artikel Populer dan lain-lain) untuk GURU dapat dilihat di sini :
https://yusakmuabuai194439501.wordpress.com/Drs. Yusak Muabuai, M.Pdhttp://www.blogger.com/profile/17539633559678812546noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-4390667057495431599.post-38076575092993314332019-10-02T18:28:00.002+09:002019-10-02T18:28:14.020+09:00KERJAKAN SOAL-SOAL BERIKUT :<br />
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<!--[if !supportLists]--><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Carilah
semua nilai a, b, c yang memenuhi sistem persamaan berikut :<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 106.35pt; mso-add-space: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">a<sup>2</sup>
+ ab + ac = 21<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 106.35pt; mso-add-space: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">b<sup>2</sup>
+ bc + ab = 11<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 106.35pt; mso-add-space: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">c<sup>2</sup>
+ ac + bc = 17<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 14.2pt; mso-add-space: auto;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 2.0cm; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -21.25pt;">
<!--[if !supportLists]--><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Tentukan
himpunan penyelesaian dari :<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 106.35pt; mso-add-space: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">x<sup>2</sup>
+ y <sup>2</sup> = 16<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 106.35pt; mso-add-space: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">|x|
+ y = 4<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 14.2pt; mso-add-space: auto;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 2.0cm; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -21.25pt;">
<!--[if !supportLists]--><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">3.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Yakobus
membeli kue untuk Hari Ulang Tahun. Harga satu kaleng kue nastar sama dengan
2 kali harga satu kaleng kue keju. Harga 3 kaleng kue nastar dan 2 kaleng
kue keju Rp480.000,00. Berapa uang yang harus dibayarkan Yakobus untuk
membeli 2 kaleng kue nastar dan 3 kaleng kue keju ?<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 14.2pt; mso-add-space: auto;">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 2.0cm; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -21.25pt;">
<!--[if !supportLists]--><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">4.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="background: white; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Jembatan
gantung terpanjang di dunia adalah Akashi Kaikyo (Jepang) yang memiliki panjang
1.991 meter. Jepang juga memiliki jembatan Shimotsui Straight. Jembatan Akashi
Kaikyo memiliki panjang 111 meter lebih panjang dari dua kali panjang jembatan
Shimotsui Straight. Berapakah panjang dari jembatan Shimotsui Straight?</span></div>
Drs. Yusak Muabuai, M.Pdhttp://www.blogger.com/profile/17539633559678812546noreply@blogger.com0tag:blogger.com,1999:blog-4390667057495431599.post-64482130367381182302018-08-15T17:29:00.000+09:002019-07-31T18:42:18.575+09:00PERTIDAKSAMAAN KUADRAT<div class="separator" style="clear: both; text-align: center;">
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirvesoOgwhHnwIhZaC9XqU6gbH8faxhyGjC9vuvbMfvpLx_nFzGjaHIBqViB9-st_EAPmeFQ6g0oAJfYRTbKYyKP8gjt9as1MH77debeSNDHZ9eLgTeOa2Zof44JfAJ1_2piy2UM_wYcg/s1600/PERTIDAK+KUA+FOTO++2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="417" data-original-width="492" height="542" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirvesoOgwhHnwIhZaC9XqU6gbH8faxhyGjC9vuvbMfvpLx_nFzGjaHIBqViB9-st_EAPmeFQ6g0oAJfYRTbKYyKP8gjt9as1MH77debeSNDHZ9eLgTeOa2Zof44JfAJ1_2piy2UM_wYcg/s640/PERTIDAK+KUA+FOTO++2.jpg" width="640" /></a></div>
<br />
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<div style="text-align: left;">
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: 0cm; margin-top: 0cm; text-indent: -14.2pt;">
<span style="font-family: "Times New Roman", serif; font-size: 12pt;">2. Sebuah sepeda melaju di jalan raya dengan
persamaan lintasan s(t) = t<sup>2</sup> – 10t + 39. Jika x dalam meter
dan t dalam detik, tentukan interval waktu agar sepeda itu telah menempuh jarak
sekurang-kurangnya 15 meter.<o:p></o:p></span></div>
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<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: 0cm; margin-top: 0cm;">
<b><span style="font-family: "Times New Roman", serif; font-size: 12pt;">Jawab:</span></b><span style="font-family: "Times New Roman", serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: 0cm; margin-top: 0cm;">
<span style="font-family: "Times New Roman", serif; font-size: 12pt;">Sepeda itu dapat menempuh jarak
sekurang-kurangnya 15 meter, artinya s(t) ≥ 15. Jadi, model
matematikanya adalah t<sup>2</sup> – 10t + 39 ≥ 15. Model
ini dapat diselesaikan dengan cara sebagai berikut.<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: 0cm; margin-top: 0cm;">
<span style="font-family: "Times New Roman", serif; font-size: 12pt;">t<sup>2</sup> – 10t +
39 ≥ 15<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: 0cm; margin-top: 0cm;">
<span style="font-family: "Cambria Math", serif; font-size: 12pt;">⇒</span><span style="font-family: "Times New Roman", serif; font-size: 12pt;"> t<sup>2</sup> – 10t +
39 – 15 ≥ 0<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: 0cm; margin-top: 0cm;">
<span style="font-family: "Cambria Math", serif; font-size: 12pt;">⇒</span><span style="font-family: "Times New Roman", serif; font-size: 12pt;"> t<sup>2</sup> – 10t +
24 ≥ 0<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: 0cm; margin-top: 0cm;">
<span style="font-family: "Cambria Math", serif; font-size: 12pt;">⇒</span><span style="font-family: "Times New Roman", serif; font-size: 12pt;"> (t – 6)(t – 4) ≥ 0<o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: 0cm; margin-top: 0cm;">
<span style="font-family: "Cambria Math", serif; font-size: 12pt;">⇒</span><span style="font-family: "Times New Roman", serif; font-size: 12pt;"> t ≤ 4 atau t ≥ 6<o:p></o:p></span></div>
<br />
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: 0cm; margin-top: 0cm;">
<span style="font-family: "Times New Roman", serif; font-size: 12pt;">Dengan demikian, interval waktu agar sepeda itu
telah menempuh jarak sekurang-kurangnya 15 meter adalah t ≤ 4 detik
atau t ≥ 6 detik.<o:p></o:p></span></div>
</div>
<div style="text-align: left;">
<span style="font-size: medium;"><span style="font-family: "times new roman" , serif;"><br /></span></span></div>
<div style="text-align: center;">
<span style="font-size: large;"><span style="font-family: "times new roman" , serif;"><br /></span></span></div>
<div style="text-align: center;">
<span style="font-size: large;"><span style="font-family: "times new roman" , serif;">Soal - Soal </span><span style="font-family: "times new roman" , serif;">: </span></span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;"><o:p></o:p></span></div>
<span style="font-size: large;"><span style="font-family: "times new roman" , serif;"><br /></span></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-size: medium;"><span style="font-family: "times new roman" , serif;">1. Tentukan
HP dari pertidaksamaan berikut :</span><span style="font-family: "times new roman" , serif;"><o:p></o:p></span></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
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<v:stroke joinstyle="miter"/>
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alt="http://4.bp.blogspot.com/-6jPmo45r1j4/TvPBgldkLOI/AAAAAAAAABA/XBVs8hxRsoQ/s1600/grafik2.jpg"
href="http://4.bp.blogspot.com/-6jPmo45r1j4/TvPBgldkLOI/AAAAAAAAABA/XBVs8hxRsoQ/s1600/grafik2.jpg"
style='position:absolute;margin-left:221pt;margin-top:2.75pt;width:135.5pt;
height:101pt;z-index:1;visibility:visible;mso-wrap-style:square;
mso-wrap-distance-left:9pt;mso-wrap-distance-top:0;mso-wrap-distance-right:9pt;
mso-wrap-distance-bottom:0;mso-position-horizontal:absolute;
mso-position-horizontal-relative:text;mso-position-vertical:absolute;
mso-position-vertical-relative:text' o:button="t">
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</v:shape><![endif]--><!--[if !vml]--><span style="height: 135px; margin-left: 295px; margin-top: 4px; mso-ignore: vglayout; position: absolute; width: 181px; z-index: 1;"><span style="font-size: medium;"><br /></span></span><!--[endif]--><span style="font-size: medium;"><span style="font-family: "times new roman" , serif;"> a. x<sup>2 </sup>– 2x - 3 ≤ 0</span><span style="font-family: "times new roman" , serif;"><o:p></o:p></span></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "times new roman" , serif; line-height: 115%;"><span style="font-size: medium;"> b. -2x<sup>2 </sup>– 11x - 15 < 0</span></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-size: medium;"><span style="font-family: "times new roman" , serif; line-height: 115%;"></span></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
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<v:stroke joinstyle="miter"/>
<v:formulas>
<v:f eqn="if lineDrawn pixelLineWidth 0"/>
<v:f eqn="sum @0 1 0"/>
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<v:f eqn="sum @0 0 1"/>
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<v:f eqn="sum @8 21600 0"/>
<v:f eqn="prod @7 21600 pixelHeight"/>
<v:f eqn="sum @10 21600 0"/>
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<v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/>
<o:lock v:ext="edit" aspectratio="t"/>
</v:shapetype><v:shape id="Picture_x0020_7" o:spid="_x0000_s1026" type="#_x0000_t75"
alt="http://1.bp.blogspot.com/-ozuZh_T6AJM/TvPJOnxg0SI/AAAAAAAAABY/Hl2Prq1dpis/s1600/grafik4.jpg"
href="http://1.bp.blogspot.com/-ozuZh_T6AJM/TvPJOnxg0SI/AAAAAAAAABY/Hl2Prq1dpis/s1600/grafik4.jpg"
style='position:absolute;margin-left:221pt;margin-top:4.35pt;width:135.5pt;
height:101pt;z-index:1;visibility:visible;mso-wrap-style:square;
mso-wrap-distance-left:9pt;mso-wrap-distance-top:0;mso-wrap-distance-right:9pt;
mso-wrap-distance-bottom:0;mso-position-horizontal:absolute;
mso-position-horizontal-relative:text;mso-position-vertical:absolute;
mso-position-vertical-relative:text' o:button="t">
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<v:imagedata src="file:///C:\Users\SMA120~1\AppData\Local\Temp\msohtmlclip1\01\clip_image001.jpg"
o:title="grafik4"/>
</v:shape><![endif]--><!--[if !vml]--><span style="height: 135px; margin-left: 295px; margin-top: 6px; mso-ignore: vglayout; position: absolute; width: 181px; z-index: 1;"><span style="font-size: medium;"><br /></span></span><!--[endif]--><span style="font-family: "times new roman" , serif;"><span style="font-size: medium;"> c. x<sup>2 </sup>– 4x + 4 <
0</span></span><br />
<br />
<div style="margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: -6.8pt; margin-top: 0cm; text-indent: -14.2pt;">
<span style="color: black;">2.
<span style="background: white;">Hasil produksi suatu barang dapat dinyatakan
dengan persamaan <span style="mso-bidi-font-weight: bold;">H(x) = – x<sup>2</sup>+
28 x −<span style="mso-spacerun: yes;"> </span>60<b> </b></span> unit barang
untuk bahan bakuyang diperlukan. Jika hasil produksi (H) mencapai lebih dari
100 unit, maka berapa banyak bahan baku x yang diperlukan ?<o:p></o:p></span></span></div>
<div style="margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: -6.8pt; margin-top: 0cm; text-indent: -14.2pt;">
<br /></div>
<div style="-webkit-text-stroke-width: 0px; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: -6.8pt; margin-top: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; text-indent: -14.2pt; widows: 2; word-spacing: 0px;">
<span style="color: black;"><o:p></o:p>3. <span style="background: white;">Keliling sebuah persegi panjang sama dengan 20 cm.
Jika luas persegi panjang itu tidak kurang dari 21 cm<sup style="background-color: white; font-family: "Times New Roman", serif;">2</sup>,
maka tentukanlah batas-batas nilai panjang dari persegi panjang tersebut. ?<o:p></o:p></span></span></div>
<div style="margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: -6.8pt; margin-top: 0cm; text-indent: -14.2pt;">
<br /></div>
<div style="-webkit-text-stroke-width: 0px; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: -6.8pt; margin-top: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; text-indent: -14.2pt; widows: 2; word-spacing: 0px;">
<span style="color: black;"><o:p></o:p>4. <span style="background: white;">Sebuah </span>peluru<span style="background: white;">
ditembakkan ke atas. ketinggian peluru yang dicapai (dalam meter) dinyatakan
sebagai h(t) = 30t – t<sup style="background-color: white; font-family: "Times New Roman", serif;">2</sup>.
Berapa lamakah peluru itu berada pada ketinggian tidak kurang dari 221 meter?<o:p></o:p></span></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<br /></div>
<div style="-webkit-text-stroke-width: 0px; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: -6.8pt; margin-top: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; text-indent: -14.2pt; widows: 2; word-spacing: 0px;">
<span style="background: white; color: black;">5. <span style="mso-bidi-font-weight: bold;">Suatu</span> kolam renang berbentuk persegi panjang akan dibuat dengan keliling
30 m. Jika luas kolam renang paling sedikit 50 m<sup style="background-color: white; font-family: "Times New Roman", serif;">2</sup>,
maka tentukanlah interval panjang kolam renang (dalam meter) yang memenuhi
syarat tersebut. ?<o:p></o:p></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<br /></div>
<div style="-webkit-text-stroke-width: 0px; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: -6.8pt; margin-top: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; text-indent: -14.2pt; widows: 2; word-spacing: 0px;">
<span style="color: black;"><o:p></o:p><o:p></o:p>6. <span style="background: white; mso-bidi-font-weight: bold;">Permukaan</span><span style="background: white;"> sebuah meja berbentuk persegi panjang dengan panjang
16x cm dan lebar 10x cm. Jika luasnya tidak kurang dari 40 dm<sup style="background-color: white; font-family: "Times New Roman", serif;">2</sup>,
tentukan ukuran minimum permukaan meja tersebut. ?</span></span></div>
</div>
Drs. Yusak Muabuai, M.Pdhttp://www.blogger.com/profile/17539633559678812546noreply@blogger.com0tag:blogger.com,1999:blog-4390667057495431599.post-74317335960911075112018-08-10T12:40:00.001+09:002019-07-29T23:33:14.740+09:00PERTIDAKSAMAAN LINIER SATU VARIABEL<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 2; text-align: center; vertical-align: baseline;">
<b style="background-color: white;"><span style="color: black; font-size: large; line-height: 115%;">Apa itu Pertidaksamaan
Linear Satu Variabel ?</span></b><br />
<b style="background-color: white;"><span style="color: black; font-size: 18.0pt; line-height: 115%;"><br /></span></b>
<br />
<div class="MsoNormal" style="background: white; margin-bottom: .0001pt; margin-bottom: 0cm;">
</div>
<div style="text-align: justify;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Jika suatu persamaan diapit oleh simbol tanda
sama dengan (=), maka pertidaksamaan diapit oleh simbol selain tanda sama
dengan. Simbol-simbol yang digunakan dalam pertidaksamaan adalah:</span></div>
<span style="line-height: 115%;"></span><br />
<span style="font-size: large; line-height: 115%;"><b>
<!--[if !supportLineBreakNewLine]-->
<!--[endif]--><span style="font-family: "maiandra gd" , sans-serif;"><o:p></o:p></span></b></span><br />
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-list: l0 level1 lfo1; tab-stops: list 36.0pt; text-align: justify; text-indent: 0cm;">
<b><span style="color: black; font-family: "symbol";"><span style="mso-list: Ignore;"><span style="font-family: "times new roman"; font-stretch: normal; font-style: normal; font-variant: normal; line-height: normal;"><span style="font-size: large;"> </span> </span></span></span><!--[endif]--><span style="color: black; font-family: "maiandra gd" , "sans-serif";">> Lebih dari<u1:p></u1:p><o:p></o:p></span></b></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-list: l0 level1 lfo1; tab-stops: list 36.0pt; text-align: justify; text-indent: 0cm;">
<b><span style="color: black; font-family: "symbol";"><span style="mso-list: Ignore;"><span style="font-family: "times new roman"; font-stretch: normal; font-style: normal; font-variant: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="color: black; font-family: "maiandra gd" , "sans-serif";">< Kurang dari<u1:p></u1:p><o:p></o:p></span></b></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-list: l0 level1 lfo1; tab-stops: list 36.0pt; text-align: justify; text-indent: 0cm;">
<b><span style="color: black; font-family: "symbol";"><span style="mso-list: Ignore;"><span style="font-family: "times new roman"; font-stretch: normal; font-style: normal; font-variant: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="color: black; font-family: "maiandra gd" , "sans-serif";">≥ Lebih dari atau sama dengan<u1:p></u1:p><o:p></o:p></span></b></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-list: l0 level1 lfo1; tab-stops: list 36.0pt; text-align: justify; text-indent: 0cm;">
<b><span style="color: black; font-family: "symbol";"><span style="mso-list: Ignore;"><span style="font-family: "times new roman"; font-stretch: normal; font-style: normal; font-variant: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="color: black; font-family: "maiandra gd" , "sans-serif";">≤ Kurang dari atau sama dengan<u1:p></u1:p><o:p></o:p></span></b></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin: 0cm; mso-list: l0 level1 lfo1; tab-stops: list 36.0pt; text-align: justify; text-indent: 0cm;">
<b><span style="color: black; font-family: "symbol";"><span style="mso-list: Ignore;"><span style="font-family: "times new roman"; font-stretch: normal; font-style: normal; font-variant: normal; line-height: normal;"> </span></span></span><!--[endif]--></b><span style="color: black; font-family: "maiandra gd" , "sans-serif";"><b>≠ Tidak sama dengan</b><span style="font-size: 12pt;"><u1:p></u1:p><o:p></o:p></span></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="background: white; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">Nah karena yang kita
singgung adalah linear satu variabel, maka dengan demikian kita dapat
menyimpulkan bahwa suatu "<b>pertidaksamaan linear satu variabel adalah</b> "
: Pertidaksamaan yang terdiri dari satu variabel dan
pangkat terbesar dari variabel tersebut adalah satu.<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">Perhatikan beberapa bentuk pertidaksamaan berikut ini.<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">(a) x + 1 > 0<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">(b) 2x – 4 < 3<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">(c) 5x + 7 ≥ −3<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">(d) 4x + 1 ≤ 5<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">Pertidaksamaan yang memuat satu variabel berderajat 1 seperti di
atas disebut dengan pertidaksamaan linear satu variabel. Dalam variabel x,
pertidaksamaan linear ini memiliki 4 macam bentuk baku sebagai berikut :<o:p></o:p></span><br />
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<table border="0" cellpadding="0" class="MsoNormalTable" style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; orphans: 2; text-align: justify; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
<td style="background: #B8CCE4; padding: 0cm 3.25pt 0cm 3.25pt; width: 144.0pt;" valign="top" width="192"><div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-size: large;"><b><span style="color: black; font-family: "arial" , "sans-serif"; line-height: 115%;">■</span></b><b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; line-height: 115%;"> ax + b < 0</span></b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; line-height: 115%;"><o:p></o:p></span></span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 1;">
<td style="background: #B8CCE4; padding: 0cm 3.25pt 0cm 3.25pt; width: 144.0pt;" valign="top" width="192"><div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-size: large;"><b><span style="color: black; font-family: "arial" , "sans-serif"; line-height: 115%;">■</span></b><b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; line-height: 115%;"> ax + b ≤ 0</span></b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; line-height: 115%;"><o:p></o:p></span></span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 2;">
<td style="background: #B8CCE4; padding: 0cm 3.25pt 0cm 3.25pt; width: 144.0pt;" valign="top" width="192"><div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-size: large;"><b><span style="color: black; font-family: "arial" , "sans-serif"; line-height: 115%;">■</span></b><b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; line-height: 115%;"> ax + b > 0</span></b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; line-height: 115%;"><o:p></o:p></span></span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 3;">
<td nowrap="" style="background: #B8CCE4; padding: 0cm 3.25pt 0cm 3.25pt; width: 144.0pt;" valign="top" width="192"><div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-size: large;"><b><span style="color: black; font-family: "arial" , "sans-serif"; line-height: 115%;">■</span></b><b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; line-height: 115%;"> ax + b ≥ 0</span></b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; line-height: 115%;"><o:p></o:p></span></span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 4; mso-yfti-lastrow: yes;">
<td style="background: #B8CCE4; padding: 0cm 3.25pt 0cm 3.25pt; width: 233.75pt;" valign="top" width="312"><div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;">
<b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; line-height: 115%;">dengan a dan b bilangan real dan a ≠ 0 </span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: large; line-height: 115%;"> </span></b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"><o:p></o:p></span></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<br /></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="font-size: large;"><b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; line-height: 115%;">Menyelesaiakan </span></b><b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; line-height: 115%;">Pertidaksamaan Linier Satu Variabel (Ptlsv)</span></b></span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"><u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">Terdapat 3 cara yang bisa
Anda gunakan untuk menyelesaiakan soal Pertidaksamaan Linier Satu Variabel
(PtLSV), yaitu :<u1:p></u1:p><o:p></o:p></span><br />
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; text-indent: -21.3pt; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; line-height: 115%;"><span style="font-size: large;"> 1. <b>Subtitusi</b></span><span style="font-size: 12pt;"><o:p></o:p></span></span></div>
<u1:p></u1:p>
<br />
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">Dengan cara ini, Anda bisa
menggunakan atau mengganti sembarang x untuk dimasukkan ke dalam formula
pertidaksamaan untuk mendapatkan pernyataan yang benar.<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">Contohnya : 5x + 2 > 12<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">Penyelesaian :<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">Jika x = 1 maka 5 (1) +
2 > 12<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"> 5
+ 2 > 12<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"> 7
> 12 (salah)<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">Jika x = 3 maka
5 (3) + 2 > 12<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"> 15
+ 2 > 12<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"> 17 >
12 ( pernyataan benar )<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">Untuk cara pertama ini,
kurang efektif karena harus melakukan try error.. Cara yang paling ideal
gunakan cara ke dua atau ketiga yang akan dijelaskan dibawah ini.<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<br /></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; text-indent: -21.3pt; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"> </span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; line-height: 115%;"><span style="font-size: large;">2. <b>Ekuivalen/Neraca/Timbangan</b></span><span style="font-size: 12pt;"><o:p></o:p></span></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">Pertidaksamaan bisa
dikerjakan dengan cara:<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; text-indent: -14.15pt; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"> a. </span>Menambah
dan mengurangi dengan bilangan yang sama, mengalikan atau membagi dengan bilangan positif dan tidak mengubah tanda pertidaksamaan<u1:p></u1:p><o:p></o:p></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; text-indent: -14.15pt; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"> b. </span>Mengalikan
atau membagi dengan bilangan negatif dan mengubah tanda pertidaksamaan
menjadi lawan misalnya tanda > menjadi <. atau sebaliknya < menjadi ><u1:p></u1:p><o:p></o:p></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<br /></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">Contohnya :<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">2x – 1 > 4 x + 5<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">Penyelesaian :<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">= 2x – 1 + 1 > 4 x + 5 +
1 ( kedua ruas di tambah 1 dan tidak mengubah tanda)<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">= 2x > 4x + 6<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">= 2x – 4x > 4x – 4x + 6
(kedua ruas dikurangi 2x)<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">= -2x > 6<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">= -2x / -2 > 6/ -2
(kedua ruas dibagi -2 dan mengubah tanda )<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">= x < -3<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<br /></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; text-indent: -21.3pt; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"> </span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; line-height: 115%;"><span style="font-size: large;">3.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal;"> </span><b>Pindah
Ruas</b></span><span style="font-size: 12pt;"><o:p></o:p></span></span></div>
<u1:p></u1:p>
<br />
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">Contohnya :<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">6 (x – 3) > 2x + 5<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">Penyelesaian :<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">= 6x – 18 > 2x + 5<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">= 6x – 2x > 18 + 5<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">= 4x > 22<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">= x > 22/4<u1:p></u1:p><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">= x > 5,5<u1:p></u1:p><o:p></o:p></span></div>
<div align="center" class="MsoNormal" style="background: white; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center; vertical-align: baseline;">
<b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; line-height: 115%;"><br /><span style="font-size: large;">
Latihan Soal</span><span style="font-size: 12pt;"><u1:p></u1:p><o:p></o:p></span></span></b></div>
<div align="center" class="MsoNormal" style="background: white; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center; vertical-align: baseline;">
<br /></div>
<div class="MsoNormal" style="background: white; margin-bottom: .0001pt; margin-bottom: 0cm;">
</div>
<div style="text-align: justify;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">1. Tentukan nilai x
dari pertidaksamaan :x – 3 ≤ 2, x bilangan bulat antara -3 dan 8 ?</span></div>
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt; text-align: justify;"> </span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"></span><br />
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">
<o:p></o:p></span>
<br />
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</div>
<div style="text-align: justify;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt; line-height: 115%;">2. Tentukan himpunan
penyelesaian dari 4 + </span><span style="font-family: "cambria math" , serif; font-size: 12pt; line-height: 115%;">𝑝</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt; line-height: 115%;"> ≤ 9 dengan p </span><span style="font-family: "cambria math" , serif; font-size: 12pt; line-height: 115%;">∈</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt; line-height: 115%;"> </span><span style="font-family: "cambria math" , serif; font-size: 12pt; line-height: 115%;">𝑏𝑖𝑙𝑎𝑛𝑔𝑎𝑛</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt; line-height: 115%;"> </span><span style="font-family: "cambria math" , serif; font-size: 12pt; line-height: 115%;">𝑎𝑠𝑙𝑖</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt; line-height: 115%;"> ?. </span></div>
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt; text-align: justify;"> </span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"></span><br />
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">
<o:p></o:p></span>
<br />
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">3. Tentukan himpunan penyelesaian dari
2x + 5 ≤ 11 dengan x bilangan bulat ?</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; margin-bottom: .0001pt; margin-bottom: 0cm;">
</div>
<br />
<div style="text-align: justify;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;"><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">4. Carilah </span><span style="color: windowtext; text-decoration-line: none;"><span style="text-decoration-line: none;">Himpunan</span></span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> penyelesaian
dari 5</span><i style="font-family: "Maiandra GD", sans-serif; font-size: 12pt;">x</i><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> – 5 > 10 dengan </span><i style="font-family: "Maiandra GD", sans-serif; font-size: 12pt;">x</i><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> anggota bilangan asli
?</span></span></div>
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">
<o:p></o:p></span>
<br />
<div class="MsoNormal" style="background: white; margin-bottom: 0.0001pt; text-align: justify; vertical-align: baseline;">
<br /></div>
<div class="MsoNormal" style="background: white; margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify; text-indent: -21.3pt; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">5. </span>Carilah
Himpunan penyelesaian dari 2x + 6 < 14 dengan <i>x</i> anggota
bilangan bulat ?<o:p></o:p></div>
<div class="MsoNormal" style="background: white; margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify; vertical-align: baseline;">
<br /></div>
<div class="MsoNormal" style="background: white; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; vertical-align: baseline;">
<span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt; line-height: 115%;">6. Carilah Himpunan
penyelesaian dari 4 ( x + 4 ) > 2x + 6 dengan <i>x</i> anggota
bilangan bulat ?</span><span style="background-color: transparent; text-align: center;"> </span></div>
</div>
Drs. Yusak Muabuai, M.Pdhttp://www.blogger.com/profile/17539633559678812546noreply@blogger.com0tag:blogger.com,1999:blog-4390667057495431599.post-24832415850650019292018-08-09T12:53:00.001+09:002019-08-05T23:54:34.923+09:00PERSAMAAN NILAI MUTLAK<br />
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
<div style="text-align: left;">
<span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt;">Nilai
mutlak suatu bilangan dapat diartikan </span><i style="font-family: "times new roman", serif; font-size: 12pt;">jarak
antara bilangan tersebut dari titik nol(0).</i><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt;"> Dengan demikian jarak selalu
bernilai positif.</span></div>
</div>
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<span style="background: white; color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;">Misalnya:</span><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="background: white; color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;">Parhatikan
garis bilangan berikut.</span><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;"><o:p></o:p></span><br />
<span style="background: white; color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;"><br /></span></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiptLi2UMdYZpYAUEXTrA8BHswhyphenhyphen5iSAoFWd-YwJhYSHx_zOHp__7sEergfJOFffwKQhYbC8jJAms_nIBoHxudMpzY_4-gdDZYQUujMRO7u2pdPt9jsuoq7nWXKBLRmETEGq2Vw3ITQT9k/s1600/GAMBAR+GARIS+BILANGAN.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="65" data-original-width="301" height="136" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiptLi2UMdYZpYAUEXTrA8BHswhyphenhyphen5iSAoFWd-YwJhYSHx_zOHp__7sEergfJOFffwKQhYbC8jJAms_nIBoHxudMpzY_4-gdDZYQUujMRO7u2pdPt9jsuoq7nWXKBLRmETEGq2Vw3ITQT9k/s640/GAMBAR+GARIS+BILANGAN.jpg" width="640" /></a></div>
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<span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt;"><br /></span>
<span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt;">Jarak
angka 6 dari titik 0 adalah 6</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="background: white; color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;">Jarak angka
-6 dari titik 0 adalah 6.</span><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="background: white; color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;">Dari
penjelesan di atas memang tampak bahwa nilai mutlak suatu bilangan selalu
bernilai positif. </span><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;"><o:p></o:p></span></div>
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<span style="background: white; color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;">Berkaitan
dengan menentukan nilai mutlak suatu bilangan, maka muncullah tanda mutlak.
Tanda mutlak disimbolkan dengan garis 2 ditepi suatu bilangan atau bentuk
aljabar.<o:p></o:p></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: 15.05pt; vertical-align: baseline;">
<span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt;"><br /></span>
<span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt;">Contoh
:</span></div>
</div>
<div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<div style="text-align: justify;">
<!--[if !supportLists]--><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;"><span style="mso-list: Ignore;">1<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><!--[if gte msEquation 12]><m:oMath><m:d><m:dPr><m:begChr
m:val="|"/><m:endChr m:val="|"/><span style='font-size:12.0pt;mso-ansi-font-size:
12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman";
color:black;font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i
style='mso-bidi-font-style:normal'><span style='font-size:12.0pt;font-family:
"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman";mso-bidi-font-family:"Times New Roman";color:black'><m:r>6</m:r></span></i></m:e></m:d></m:oMath><![endif]--><!--[if !msEquation]--><span style="font-family: "calibri" , "sans-serif"; font-size: 11.0pt; line-height: 115%; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 14.25pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\SMA120~1\AppData\Local\Temp\msohtmlclip1\01\clip_image002.png">
</v:imagedata></v:shape></span><!--[endif]--><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;"><span style="mso-spacerun: yes;"> </span></span><span style="font-size: 12pt;">|6|</span><span style="font-family: "times new roman" , serif; font-size: 12pt; text-indent: -18pt;"> </span><span style="font-family: "times new roman" , serif; font-size: 12pt; text-indent: -18pt;">=</span><span style="font-family: "times new roman" , serif; font-size: 12pt; text-indent: -18pt;"> </span><span style="font-family: "times new roman" , serif; font-size: 12pt; text-indent: -18pt;">6</span></div>
</div>
<div style="text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<div style="text-align: justify;">
<!--[if !supportLists]--><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;"><span style="mso-list: Ignore;">2 <span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><!--[if gte msEquation 12]><m:oMath><m:d><m:dPr><m:begChr
m:val="|"/><m:endChr m:val="|"/><span style='font-size:12.0pt;mso-ansi-font-size:
12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman";
color:black;font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i
style='mso-bidi-font-style:normal'><span style='font-size:12.0pt;font-family:
"Times New Roman","serif";mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:
"Times New Roman";color:black'><m:r>-</m:r></span></i><i style='mso-bidi-font-style:
normal'><span style='font-size:12.0pt;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman";
mso-bidi-font-family:"Times New Roman";color:black'><m:r>6</m:r></span></i></m:e></m:d></m:oMath><![endif]--><!--[if !msEquation]--><span style="font-family: "calibri" , "sans-serif"; font-size: 11.0pt; line-height: 115%; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 23.25pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\SMA120~1\AppData\Local\Temp\msohtmlclip1\01\clip_image003.png">
</v:imagedata></v:shape></span><!--[endif]--><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;"><span style="mso-spacerun: yes;"> </span></span><span style="font-size: 12pt;">|- 6 |</span><span style="font-family: "times new roman" , serif; font-size: 12pt; text-indent: -18pt;">=</span><span style="font-family: "times new roman" , serif; font-size: 12pt; text-indent: -18pt;"> </span><span style="font-family: "times new roman" , serif; font-size: 12pt; text-indent: -18pt;">6</span></div>
<div style="text-align: justify;">
<span style="font-family: "times new roman" , serif; font-size: 12pt; text-indent: -18pt;"><br /></span></div>
</div>
<span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt;">Secara
umum, bentuk persamaan nilai mutlak dapat dimaknai seperti berikut.</span><br />
<span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt;"><br /></span>
<span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt;"></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjegNUKLkOlFj5hMjh1lnXxvYd2Bwqd8TQis2r_VGe2DlTL7v8puewnOfBNlYumvSaYvv1-uL-XqJnqUZezldFsRQoJyiUITBhhuLq3UTm_2GFBUlnjqEIaZ3zj6s1UC2V91OZdxcg9E-4/s1600/PERS+NIL+MUTLAK+1.jpg" imageanchor="1" style="display: inline; margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="53" data-original-width="159" height="208" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjegNUKLkOlFj5hMjh1lnXxvYd2Bwqd8TQis2r_VGe2DlTL7v8puewnOfBNlYumvSaYvv1-uL-XqJnqUZezldFsRQoJyiUITBhhuLq3UTm_2GFBUlnjqEIaZ3zj6s1UC2V91OZdxcg9E-4/s640/PERS+NIL+MUTLAK+1.jpg" width="640" /></a></div>
<span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt;"><br /></span>
<br />
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<span style="background: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;">Jika kita mempunyai persamaan dalam bentuk aljabar,
maka dapat dimaknai sebagai berikut</span><br />
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiyS0lDHojR72ib08X-lXigQGjgfzwn0sySLPgpm4hiffK8wE0CrA-wF6F02nhyphenhyphenNIJ_hqir1VityELm4efeSfh90No3bwdEMhq8AMBu6rR38zkAPpiP_xNUIOS-iim860EFo3U6lQBzZVE/s1600/PERS+NIL+MUTLAK+2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="54" data-original-width="260" height="132" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiyS0lDHojR72ib08X-lXigQGjgfzwn0sySLPgpm4hiffK8wE0CrA-wF6F02nhyphenhyphenNIJ_hqir1VityELm4efeSfh90No3bwdEMhq8AMBu6rR38zkAPpiP_xNUIOS-iim860EFo3U6lQBzZVE/s640/PERS+NIL+MUTLAK+2.jpg" width="640" /></a></div>
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<span style="font-family: "times new roman" , serif; font-size: 12pt;"><br /></span>
<span style="font-family: "times new roman" , serif; font-size: 12pt;">Mari kita cermati beberapa
bentuk persamaan nilai mutlak berikut :</span><br />
<span style="font-family: "times new roman" , serif; font-size: 12pt;"><br /></span></div>
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<span style="font-family: "times new roman" , serif; font-size: 12pt;">Untuk memperdalam pemahaman kalian,
mari kita cermati beberapa contoh berikut :</span><br />
<span style="font-family: "times new roman" , serif; font-size: 12pt;"><br /></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Contoh
1 </span></b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Tentukan Himpunan penyelesaian dari
|x| = 6<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<i><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Penyelesaian</span></i><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">|x| = 6 <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;"> x = 6 atau x = – 6<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Himpunan penyelesaiannya adalah {– 6
, 6}.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;"><br /></span></b>
<b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Contoh
2 </span></b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Tentukan himpunan penyelesaian dari
persamaan |2p| = 18<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<i><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Penyelesaian:</span></i><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">|2p| = 18 <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;"> 2p = 18 atau 2p = – 18 <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;"> p = 9 atau p = – 9<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Himpunan penyelesaiannya adalah {– 9
, 9}.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;"><br /></span></b>
<b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Contoh
3 </span></b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Tentukan himpunan penyelesaian dari
persamaan | x – 4| = 7<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<i><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Penyelesaian</span></i><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">|x – 4| = 7 <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;"> x – 4 = 7 atau x – 4 = –
7 <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;"> x = 11 atau x = – 3<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Himpunan penyelesaiannya adalah {– 3
, 11}.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<b><span style="border: none 1.0pt; font-family: "times new roman" , "serif"; font-size: 12.0pt; padding: 0cm;"><br />
</span></b><b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Contoh 4 </span></b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Tentukan himpunan penyelesaian dari persamaan |5x + 3| =
|2x|<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<i><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Penyelesaian</span></i><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">|5x + 3| = |2x| <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;"> 5x + 3 = 2x atau 5x + 3 =
–(2x) <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">3x = – 3 atau 5x + 3 = – 2x <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">x = – 1 atau 7x = – 3 <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">x = 1 atau x = -3/7<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; vertical-align: baseline;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt;">Himpunan penyelesaiannya adalah {-1
, -3/7} .<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
<b><span style="background: white; color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;"><br /></span></b>
<b><span style="background: white; color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;">SOAL :</span></b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="background: white; color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;">Tentukan
himpunan penyelesaian dari persamaan nilai Mutlak di bawah ini.</span><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;"><o:p></o:p></span></div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12pt;"><o:p> </o:p></span><span style="font-family: "times new roman" , serif; font-size: 12pt; text-indent: -14.2pt;">1.<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span></span><span style="color: #333333; text-indent: -14.2pt;">|X + 5| = 3</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -14.2pt;">
<!--[if !supportLists]--><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><b><span style="background: white; color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;"><span style="mso-spacerun: yes;"> </span></span></b><span style="color: #333333;">|2X </span><span style="color: #333333; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;">−</span><span style="color: #333333;">
3| <span style="mso-spacerun: yes;"> </span>= 5</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 18.0pt; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="color: #333333; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin;"><span style="mso-list: Ignore;">3.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="color: #333333;">|<i><span style="border: none windowtext 1.0pt; mso-border-alt: none windowtext 0cm; padding: 0cm;">x</span></i> + 1| + 2X = <span style="mso-spacerun: yes;"> </span>7<o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 18.0pt; margin-right: 0cm; margin-top: 0cm; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="color: black;"><span style="mso-list: Ignore;">4.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="color: black;">|3x + 4| <span style="mso-spacerun: yes;"> </span>= <span style="mso-spacerun: yes;"> </span>x − 8<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="background: white; color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;">5. <b> </b></span><span style="color: #333333;">–5|<i><span style="border: none windowtext 1.0pt; mso-border-alt: none windowtext 0cm; padding: 0cm;">x</span></i> – 7| + 2 = –13<o:p></o:p></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm; vertical-align: baseline;">
<span style="background: white; color: black;">6. <b> </b></span><span style="color: #333333;">|5 – 2/3 <i><span style="border: none windowtext 1.0pt; mso-border-alt: none windowtext 0cm; padding: 0cm;">x</span></i>| – 9 = 8<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<b><span style="background: white; color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt;">7. </span></b><span style="color: #333333;">|–2<i><span style="border: none windowtext 1.0pt; mso-border-alt: none windowtext 0cm; padding: 0cm;">x</span></i>| + 5 = 13<o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm;">
<span style="color: #333333;">8. </span><span style="color: #333333;">– </span><span style="color: black;">3|x-4|+5 = 14<o:p></o:p></span></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm;">
<span style="color: #333333;">9. </span><span style="color: black;">|4 – 2/5 x|-7 = 13</span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
10. <span style="font-family: "arial" , sans-serif; font-size: 9.5pt;">|2x - 7| = 3<o:p></o:p></span></div>
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</v:imagedata></v:shape><span style="font-family: "arial" , sans-serif; font-size: 9.5pt; line-height: 115%;">11. |2x - 1| = |x + 4|</span><span style="font-family: "arial" , "sans-serif"; font-size: 9.5pt; line-height: 115%;"><br />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;">12. Jabarkan bentuk nilai mutlak berikut :</span><br />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;"> a.
|4x - 3|</span><br />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;"> b.
|2x + 8|</span><br />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;">13. Nilai
x yang memenuhi persamaan |x - 2| = 2x + 1 </span><br />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;">14. Nyatakan
|x - 4| + |2x + 6| tanpa menggunakan simbol nilai mutlak</span></span><br />
<span style="font-family: "arial" , "sans-serif"; font-size: 9.5pt; line-height: 115%;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;">15.</span></span><br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjgPqsUrkwtR2T6zwWi2fnO_eHjmfPUMS8ssaZwAQmjnvqS1dOJFNHBUGNJpi7kVSsnUZBLIS2tfdlLi8-3ibeouPwfIIRrQVNWzRr7g8nyOFbTLhd2j-sAsu2x8vJtFA65Rig9KP4Hvs/s1600/SOAL+PERS+NIL+MUTLAK.jpg" imageanchor="1" style="clear: left; display: inline !important; margin-bottom: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="711" data-original-width="1039" height="435" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjgPqsUrkwtR2T6zwWi2fnO_eHjmfPUMS8ssaZwAQmjnvqS1dOJFNHBUGNJpi7kVSsnUZBLIS2tfdlLi8-3ibeouPwfIIRrQVNWzRr7g8nyOFbTLhd2j-sAsu2x8vJtFA65Rig9KP4Hvs/s640/SOAL+PERS+NIL+MUTLAK.jpg" width="640" /></a><br />
<br />
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt; text-align: justify;">
16. Tentukan penyelesaian dari |x-2| = |6+2x|</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt; text-align: justify;">
17. Tentukan nilai x yang memenuhi |2x+16|=x+4</div>
<br />
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt; text-align: justify;">
18. Tentukan nilai x dari |3x+2|²+|3x+2|-2=0</div>
<b><span style="font-size: large;"><br /></span></b>
<br />
<div style="text-align: center;">
<b><span style="font-size: large;">Penyelesaian Soal No. 12 a dan 17</span></b></div>
<br />
<span style="font-family: "arial" , sans-serif; line-height: 115%;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;">12. a. Untuk |4x - 3|</span><br />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;"> |4x - 3| = 4x - 3
jika x ≥ 3/4</span><br />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;"> </span></span><span style="font-family: "arial" , sans-serif;">|4x - 3| = -(4x - 3) = −
4x + 3 </span><span style="font-family: "arial" , sans-serif;"> </span><span style="font-family: "arial" , sans-serif;"> </span><span style="font-family: "arial" , sans-serif;">jika x < 3/4</span><br />
<span style="font-family: "arial" , sans-serif; font-size: 9.5pt;"><br /></span>
<br />
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt; text-align: justify;">
17. Tentukan nilai x yang memenuhi
|2x+16|=x+4</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
Penyelesaian :</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
|2x+16|</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
===> 2x+16 untuk 2x+16 ≥ 0</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
2x ≥ -16</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
x ≥ -16/2</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
x ≥ -8</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
===> -(2x+16) untuk 2x+16 < 0</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
2x < -16</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
x < -16/2</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
x < -8</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
====>Untuk interval x≥-8</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
|2x+16| = x+4</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
2x+16 = x+4</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
2x-x = 4-16</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
x = -12</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
x=-12 tidak termuat dalam interval x≥8</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
Jadi interval x≥8 tidak mempunyai penyelesaian.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
====>Untuk interval x<-8</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
|2x+16| = x+4</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
-(2x+16) = x+4</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
-2x-16 = x+4</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
-2x-x = 4+16</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
-3x = 20</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
x =
20/-3</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
x = -6
2/3</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
x=-6 2/3 tidak termuat dalam interval x<-8</div>
<span style="font-family: "arial" , sans-serif; line-height: 115%;">
<!--[endif]--></span><br />
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; margin: 0cm 0cm 0.0001pt 14.2pt; text-align: justify;">
Jadi interval x<-8 tidak mempunyai penyelesaian.</div>
</div>
Drs. Yusak Muabuai, M.Pdhttp://www.blogger.com/profile/17539633559678812546noreply@blogger.com0tag:blogger.com,1999:blog-4390667057495431599.post-76245421273394889782018-08-08T22:47:00.003+09:002019-07-25T18:35:11.081+09:00PERSAMAAN LINIER SATU VARIABEL<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-outline-level: 1; text-align: center;">
<div class="separator" style="clear: both; text-align: center;">
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<div style="text-align: justify;">
<div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt;">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Dari kata-kata "Persamaan Linear Satu Variabel", kita
melihat adanya kata "Persamaan".</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Seperti yang kita ketahui bahwa : <span style="background: white;">Persamaan merupakan suatu kalimat terbuka yang dihubungkan dengan simbol
sama dengan (=) pada kedua ruasnya.</span></span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<b><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">I. Pengertian Kalimat Terbuka</span></b><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Kalimat terbuka merupakan sebuah kalimat yang di dalamnya
terkandung satu atau lebih variabel yang nilai kebenarannya belum
diketahui. </span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Contoh kalimat terbuka adalah</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> x+ 2 = 15</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Persamaan di atas memiliki satu variabel yaitu : x.</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Maka disebut persamaan linear satu variabel </span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<b><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">II. Pengertian Persamaan Linear Satu Variabel</span></b><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Persamaan Linear Satu Variabel adalah persamaan yang terdiri dari
satu variabel dan pangkat terbesar dari variabel tersebut adalah satu.</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">atau</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Persamaan Linear satu variabel adalah kalimat terbuka yang
dihubungkan tanda sama dengan ( = ) dan hanya memiliki satu variabel berpangkat
1. </span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Bentuk Umum Persamaan Linear Satu Variabel: <span style="background: white;">ax + b = 0 , dengan a≠ 0</span></span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Catatan:</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<ul type="disc">
<li class="MsoNormal" style="line-height: normal;"><span style="background: white; font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt;">Persamaan
diatas memiliki satu variabel yaitu :x </span><span style="font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt;"><o:p></o:p></span></li>
<li class="MsoNormal" style="background: white; line-height: normal;"><span style="font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt;">Pangkat
dari variabel tersebut harus 1, terkadang tidak ditulis. Jadi x<sup>1</sup> sama
maksudnya dengan x (tanpa ditulis pangkatnya).<o:p></o:p></span></li>
<li class="MsoNormal" style="background: white; line-height: normal;"><span style="font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt;">Angka
di depan variabel disebut sebagai koefisien <o:p></o:p></span></li>
<li class="MsoNormal" style="background: white; line-height: normal;"><span style="font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt;">Angka
yang tidak memiliki variabel disebut konstanta. Misalkan 2x+5=0, memiliki
konstanta 5. <o:p></o:p></span></li>
<li class="MsoNormal" style="background: white; line-height: normal;"><span style="font-family: "maiandra gd" , "sans-serif"; font-size: 12.0pt;">Seberapun
banyak variabel sejenis yang ditulis, tetap persamaan tersebut dianggap
satu variabelnya. Contoh 4x+5 = 2x + 2. Persamaan tersebut dianggap
memiliki satu variabel, yaitu :x<o:p></o:p></span></li>
</ul>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<b><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Contoh Persamaan Linear Satu Variabel</span></b><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Yang manakah persamaan dibawah ini yang dianggap sebagai persamaan
linear satu variabel ?</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">a. 2x+ 5 = 10</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">b. x<sup>2</sup>+ 3x = 18</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">c. 2x + 2y = 8</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">d. x<sup>1/2</sup>+ 5 = 10</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">e. 2x +5 = 4x - 7</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal;">
<b><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Penyelesaian: </span></b><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><br />
a. Variabel pada persamaan 2x+ 5 = 10 adalah x dan berpangkat satu, maka
persamaan linear satu variabel.<br />
b. Variabel pada persamaan x<sup>2</sup>+ 3x = 18 adalah x yang memiliki
pangkat satu dan dua, maka tidak termasuk persamaan linear satu variabel.<br />
c. Variabel pada persamaan 2x + 2y = 8 adalah x dan y, karena terdapat dua
variabel, maka tidak termasuk persamaan linear satu variabel.<br />
d. Variabel pada persamaan x<sup>1/2</sup>+ 5 = 10 adalah x namun bukan
berpangkat satu (berpangkat 1/2), maka tidak termasuk persamaan linear satu
variabel.<br />
e. Variabel pada persamaan 2x +5 = 4x - 7 adalah x. Walaupun terdapat variabel
x pada ruas kiri dan ruas kanan, namun dianggap satu variabel yaitu :x. Oleh
karena itu dianggap sebagai persamaan satu variabel juga.</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<b><span style="background: white; font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Contoh persamaan linear satu variabel
diantaranya:</span></b><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">x + 2 – 6<br />
4a + 3 = 15<br />
5b – 2 = 17</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">x, a dan b adalah variabel (peubah) yang dapat digantikan dengan
sembarang bilangan yang memenuhi.</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<b><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">III. Cara Penyelesaian Persamaan Linear Satu Variabel</span></b><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">Ada tiga cara untuk menentukan penyelesaian dan himpunan
penyelesaian dari suatu persamaan linier satu variable yaitu:<br />
<b>1. Cara Subtitusi</b></span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><b> </b>Contoh :</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> Diketahui persamaan 3x-1=14; jika x Merupakan
anggota himpunan P = ( 3,4,5,6) !</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> Jawab :</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> 3x-1=14 x </span><span style="font-family: "times new roman" , serif; font-size: 12pt;">Є</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> P = (3,4,5,6)</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<b><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> Cara subtitusi :</span></b><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> 3x-1= 14; jika x = 3 = maka 3(3) – 1 = 8 (salah)</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> 3x-1= 14; jika x = 4 = maka 3(4) – 1 = 11 (salah)</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> 3x-1= 14; jika x = 5 = maka 3(5) – 1 = 14 (benar)</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> 3x-1= 14; jika x = 6 = maka 3(6) – 1 = 17 (salah)</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> Jadi , penyelesaian dari 3x-1+14 adalah 5</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<b><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;">2.Mencari persamaan-persamaan yang ekuivalen (Cara Timbangan atau
Neraca)</span></b><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><br />
a. Menambah atau mengurangi kedua ruas dengan bilangan yang sama<br />
b. Mengalikan atau membagi kedua ruas dengan bilangan bukan nol
yang sama.</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> Berdasarkan penjelasan diatas, agar
kalian lebih memahami berikut contohnya:</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><b> </b>Contoh :</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><b> </b>Diketahui persamaan 3x-1=14</span><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"><o:p></o:p></span></div>
<span style="background-color: white;"><span style="font-family: "maiandra gd" , sans-serif; font-size: 12pt;"> Mencari persamaan-persamaan yang ekuivalen
(Cara Timbangan atau Neraca)</span></span></div>
</div>
</div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm;">
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDvfcQq1w0EiEItB9lNJq6M8tsWxzrz6hhVOhFnSC-x4oJPXHV5tu5e_lRAcqhM0vDJJceO4uTpU_Yvl5OI_funybLSo7ZpT5n3PTcDKH_9u_ZizNZnN7sD0WJFkLV_1jZlLZpfJ4vZ38/s1600/tabel+plsv+ekuvalensi.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="260" data-original-width="617" height="267" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDvfcQq1w0EiEItB9lNJq6M8tsWxzrz6hhVOhFnSC-x4oJPXHV5tu5e_lRAcqhM0vDJJceO4uTpU_Yvl5OI_funybLSo7ZpT5n3PTcDKH_9u_ZizNZnN7sD0WJFkLV_1jZlLZpfJ4vZ38/s640/tabel+plsv+ekuvalensi.jpg" width="640" /></a></div>
<span style="font-family: "maiandra gd" , sans-serif; font-size: 14pt;">Dari table diatas, Jika x =
5, disubtituskan pada (a),(b) dan (c) maka persamaan tersebut menjadi suatu
kesamaan .</span><br />
<div style="margin-bottom: .0001pt; margin: 0cm;">
<o:p></o:p>
<br />
<div style="background: white; margin-bottom: .0001pt; margin: 0cm;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;">(a).3x-1=14<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
3(5) – 1 = 14<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
14 = 14 (ekuivalen)<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>(b).3x
=15<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
3 (5) = 15<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
15 = 15 (ekuivalen)<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>(c).x
= 5<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
5 = 5 (ekuivalen)<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
Artinya 3x – 1 = 14 dan 3x = 15 merupakan persamaan yang ekuivalen
.<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<br /></div>
<div style="background: white; margin-bottom: .0001pt; margin: 0cm;">
<b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;">3.
Cara Pindah Ruas</span></b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
Contoh :<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
1. Nilai x yang memenuhi persamaan 3x + 5 = 14 <o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
Cara Penyelesaiannya :<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
3x + 5 = 14<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
3x = 14 – 5<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
3x = 9<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
x = 9 : 3<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
x = 3<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
2. Nilai x yang memenuhi persamaan 5x- 7 = 3x + 5 <o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
Cara Penyelesaiannya :<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
5x- 7 = 3x + 5<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
5x – 3x = 5 + 7<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
2x = 12<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>
x = 6<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin: 0cm 0cm 0.0001pt; orphans: 2; text-align: center; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p> <b style="text-align: center;"></b></o:p><b style="text-align: center;">Latihan
Soal</b><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="background: white; margin-bottom: .0001pt; margin: 0cm;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>1.
Tentukan persamaan dari 2x - 1 = 5 <o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>2.
Berapakah nilai x dari persamaan : 3(x – 1) + x = –x + 7.<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>3.
Tentukan nilai n dari persamaan : 2n + 2 = 12</span></div>
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<span style="color: #1a1a1a; font-family: "maiandra gd" , sans-serif; font-size: 14pt; text-indent: -14.2pt;">4. Diberikan persamaan satu variabel
berikut ini: 10x + 12 = 3x + 33, maka </span><span style="font-family: "maiandra gd" , sans-serif; font-size: 14pt; text-indent: -14.2pt;">t</span><span style="color: #1a1a1a; font-family: "maiandra gd" , sans-serif; font-size: 14pt; text-indent: -14.2pt;">entukan nilai x dari persamaan : 2x
+ 5= ......... ?</span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;">5. Tentukan
nilai x dari persamaan : 3(x + 5) -(x – 3) = 36<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; text-indent: -14.2pt; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1a1a1a; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p> 6.Persegipanjang ABCD memiliki ukuran
panjang 4 cm lebihnya dari lebar. Jika keliling persegi
panjang ABCD adalah 48 cm, tentukan:</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p> a)
lebar persegipanjang<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p> b)
panjang persegipanjang<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p> c)
luas persegipanjang<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; text-indent: -14.2pt; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p> 7. Umur ibu 3 kali umur anaknya.
Selisih umur mereka adalah 30 tahun. <span style="mso-spacerun: yes;"> </span>Berapakah
umur anak dan ibunya ?<o:p></o:p></span></div>
<o:p></o:p>
<br />
<div align="center" style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: center; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<br /></div>
<div align="center" style="background: white; margin-bottom: .0001pt; margin: 0cm; text-align: center; vertical-align: baseline;">
<b><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;">Uraikanlah cara
mengerjakan soal-soal berikut ini :</span></b><o:p></o:p><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><i><u><span style="border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>Soal </span></u></i><span style="color: #1e1c1c; font-family: "cambria math" , "serif"; font-size: 14.0pt;">❶</span><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"> (UN 2017)</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>Taman
bunga Pak Rahman berbentuk persegi panjang dengan ukuran panjang
diagonalnya (3x + 15) meter dan (5x + 5) meter. Panjang diagonal taman bunga
tersebut adalah...</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>A.
10 meter</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>B.
25 meter</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="background: lime; border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>C.
30 meter</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>D.
55 meter</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><i><u><span style="border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p>Soal </span></u></i><span style="color: #1e1c1c; font-family: "cambria math" , "serif"; font-size: 14.0pt;">❷</span><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;">(UN 2017)</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>Kebun
sayur Pak Joko berbentuk persegi dengan panjang diagonal (4x +6)dan (2x + 16)
meter. Panjang diagonal kebun sayur tersebut adalah....</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>A.
38 meter</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>B.
32 meter</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>C.
28 meter</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="background: lime; border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>D.
26 meter</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><i><u><span style="border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>Soal </span></u></i><span style="color: #1e1c1c; font-family: "cambria math" , "serif"; font-size: 14.0pt;">❸</span><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;">(UN 2016)</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>Nada
membeli kue untuk lebaran. Harga satu kaleng kue nastar sama dengan 2
kali harga satu kaleng kue keju. Harga 3 kaleng kue nastar dan 2 kaleng
kue keju Rp480.000,00. Uang yang harus dibayarkan Nada untuk membeli 2
kaleng kue nastar dan 3 kaleng kue keju adalah.....</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>A.
Rp480.000,00</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="background: lime; border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>B.
Rp420.000,00</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>C.
Rp360.000,00</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>D.
Rp180.000,00</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><i><u><span style="border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>Soal </span></u></i><span style="color: #1e1c1c; font-family: "cambria math" , "serif"; font-size: 14.0pt;">❹</span><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;">(UN 2016)</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>Harga
1 ikat bayam sama dengan harga dua ikat kangkung. Bu Aminah membeli 20 ikat
bayam dan 50 ikat kangkung seharga Rp225.000,00. Bu Aisyah membeli 25
ikat bayam dan 60 ikat kangkung. Harga yang harus dibayar bu Aisyah adalah.....</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>A.
Rp220.000,00</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="background: lime; border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>B.
Rp275.000,00</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>C.
Rp290.000,00</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>D.
Rp362.000,00</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><i><u><span style="border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>Soal </span></u></i><span style="color: #1e1c1c; font-family: "cambria math" , "serif"; font-size: 14.0pt;">❺</span><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;">(UN 2015)</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>Umur
ayah p tahun dan ayah 6 tahun lebih tua dari paman. Jika jumlah umur paman dan
ayah 38 tahun, maka model matematika yang tepat adalah.....</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>A.
2p + 6 = 38</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="background: lime; border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>B.
2p - 6 = 38</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>C.
p + 6 = 38</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>D.
p - 6 = 38</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><i><u><span style="border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>Soal </span></u></i><span style="color: #1e1c1c; font-family: "cambria math" , "serif"; font-size: 14.0pt;">❻</span><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;">(UN 2015)</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>Fikri
membeli 5 buku tulis disebuah toko, ia membayar dengan uang Rp20.000,00 dan
mendapat pengembalian Rp2.500,00. Jika harga 1 buku tulis tersebut x
rupiah, maka model matematika yang benar adalah.....</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="background: lime; border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>A.
20.000 - 5x = 2.500</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>B.
5x - 2.500 = 20.000</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>C.
20.000 - (x+5) = 2.500</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>D.
x + 5 = 20.000 - 2.500</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><i><u><span style="border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>Soal </span></u></i><span style="color: #1e1c1c; font-family: "cambria math" , "serif"; font-size: 14.0pt;">❼</span><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;">(UN 2015)</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>Suatu
persegi panjang, panjangnya 5 cm lebih dari lebar. Jika keliling persegi
panjang 38 cm dan lebar x cm, maka model matematikanya adalah....</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>A.
5 + x = 38</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="background: lime; border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>B.
2(2x + 5) = 38</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>C.
2(x + 5) =38</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>D.
5 + 2x = 38</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><i><u><span style="border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>Soal </span></u></i><span style="color: #1e1c1c; font-family: "cambria math" , "serif"; font-size: 14.0pt;">❽</span><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;">(UN 2014) </span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>Diketahui
keliling persegi panjang 94 cm dengan ukuran panjang (5x + 2) cm, dan lebar (2x
+ 3) cm, maka panjang dan lebar persegi panjang sebenarnya berturut-turut
adalah....</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>A.
24 cm dan 23 cm</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>B.
25 cm dan 22 cm</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="background: lime; border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>C.
32 cm dan 15 cm</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>D.
36 cm dan 11 cm</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><i><u><span style="border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>Soal </span></u></i><span style="color: #1e1c1c; font-family: "cambria math" , "serif"; font-size: 14.0pt;">❾</span><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;">(UN 2014)</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>Sebuah
persegi panjang berukuran panjang (5x - 1) cm, dan lebar (2x + 2) cm.
Jika keliling persegi panjang itu 72 cm, maka panjang dan lebarnya
adalah.....</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>A.
12 cm dan 10 cm</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>B.
16 cm dan 12 cm</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>C.
20 cm dan 16 cm</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="background: lime; border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>D.
24 cm dan 12 cm</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><i><u><span style="border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>Soal </span></u></i><span style="color: #1e1c1c; font-family: "cambria math" , "serif"; font-size: 14.0pt;">⑩</span><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;">(UN 2013)</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>Jumlah
3 bilangan genap berurutan sama dengan 90. Jumlah bilangan terbesar dan
terkecil adalah.....</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>A.
50</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="background: lime; border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>B.
60</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>C.
62</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>D.
64</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><i><u><span style="border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>Soal </span></u></i><span style="color: #1e1c1c; font-family: "cambria math" , "serif"; font-size: 14.0pt;">⓫</span><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;">(UN 2013)</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>Jumlah
5 bilangan ganjil berurutan adalah 135. Jumlah 2 bilangan terbesarnya
adalah.....</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>A.
54</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>B.
58</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="background: lime; border: none 1.0pt; color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt; padding: 0cm;"><o:p></o:p><o:p></o:p>C.
60</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; vertical-align: baseline; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1e1c1c; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>D.
64</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><b><u><span style="color: #1a1a1a; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p><o:p></o:p>Soal
No. 12</span></u></b><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #1a1a1a; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>Amir
memiliki kelereng sebanyak a. Budi memiliki kelereng 10 buah lebih sedikit dari
kelereng Amir. Jika jumlah kelereng mereka adalah 30, pernyataan berikut yang
benar adalah…<br style="box-sizing: inherit;" />
A. a + 10 = 30<br style="box-sizing: inherit;" />
B. a – 10 = 30<br style="box-sizing: inherit;" />
C. 2a + 10 = 30</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p></span></div>
<o:p></o:p>
<br />
<div style="-webkit-text-stroke-width: 0px; background: white; font-variant-caps: normal; font-variant-ligatures: normal; margin-bottom: .0001pt; margin: 0cm; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">
<o:p></o:p><span style="color: #00b050; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"><o:p></o:p>D.
2a = 40</span><span style="color: black; font-family: "maiandra gd" , "sans-serif"; font-size: 14.0pt;"> </span></div>
</div>
</div>
Drs. Yusak Muabuai, M.Pdhttp://www.blogger.com/profile/17539633559678812546noreply@blogger.com0tag:blogger.com,1999:blog-4390667057495431599.post-54796618728641282572018-03-06T19:12:00.002+09:002019-07-27T09:32:35.398+09:00PROSES BERPIKIR MATEMATIKA<br />
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<b style="mso-bidi-font-weight: normal;">ANDA TEBAK BERAPA BANYAK BANGUN DATAR PERSEGI DALAM GAMBAR DI BAWAH INI
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<b style="mso-bidi-font-weight: normal;"><o:p>ADA BERAPA PERSEGI ........................YA.............................. ? </o:p></b></div>
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<b style="mso-bidi-font-weight: normal;"><o:p>SEMOGA JAWABANNYA BENAR.</o:p></b></div>
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Drs. Yusak Muabuai, M.Pdhttp://www.blogger.com/profile/17539633559678812546noreply@blogger.com0